document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37159>Question 37159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.\r<BR>\n" );
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document.write( "10x + 2y = 7<BR>\n" );
document.write( "Y = -5x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22832 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us transform the second equation into\r<BR>\n" );
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document.write( "5x + y = 3\r<BR>\n" );
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document.write( "and then multiply everything by two\r<BR>\n" );
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document.write( "10x + 2y = 6\r<BR>\n" );
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document.write( "If we subtract that equation from the first equation, we get\r<BR>\n" );
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document.write( "0 = 1\r<BR>\n" );
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document.write( "Of course, this is impossible.  Our conclusion is that there is no solution.\r<BR>\n" );
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document.write( "This system is inconsistent. </SPAN>\n" );
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